Please answer the entire question.

11. [-/8 Points] DETAILS LARCALCET7 6.3.045. A calf that weighs 70 pounds at birth gains weight at the rate dw/dt = k(1300 - w), where w is the weight in pounds and t is the time in years. (a) Find the particular solution of the differential equation. (b) Use a graphing utility to graph the particular solutions for k = 0.8, 0.9, and 1. W V w 1400 700 700 1400 1200 600 600 1200 1000 500 500 1000 800 400 400 800 600 300 300 600 400 200 200 100 200 100 100 200 O 2 6 8 10 O 2 8 10 2 8 10 O 2 4 6 8 10 (c) The animal is sold when its weight reaches 900 pounds. Find the time of sale (in years) for each of the models in part (b). (Round your answers to two decimal places.) k = 0.8 k = 0.9 t = k = 1 t = yr (d) What is the maximum weight of the animal (in pounds) for each of the models in part (b)? k = 0.8 Ibs k = 0.9 Ibs k = 1 Ibs